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CircFresnel
[alphaL,c] = CircFresnel(R0,Dp,R,Dt,lambda,Ngrid,[OutForm])
Computes the complex field resulting from the Fresnel diffraction of a circular aperture illuminated by an on-axis point source R0 meters from the aperture at an observation plane R meters from the aperture.
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Parameters |
Description |
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R0 [scalar] |
Phase curvature of illuminating field (m) |
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Dp [scalar] |
Aperture diameter (m) |
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R [scalar] |
Range from aperture to observation plane (m) |
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Dt [scalar] |
Diameter of interest in the observation plane (m) |
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lambda [scalar] |
Wavelength (m) |
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Ngrid [scalar] |
Number of grid points in the observation plane. |
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OutForm [string] |
(Optional) Output format. 'S' for slice, 'Q' for quadrant, 'F' for full image, and 'T' for full image in a structure format (.x, .y, .g). If quadrant is specified, the grid dimension is Ngrid x Ngrid, for full pattern, the grid is 2(Ngrid-1)x2(Ngrid-1). If Ngrid is $2^n + 1$ and the full pattern is returned, it will be properly centered for use with FFT2. |
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Return Values |
Description |
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alphaL [vector/matrix] |
Normalized complex field (${W}^{1/2}$) |
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c [vector] |
Evaluation points along one axis (m) |
K. D. Mielenz, "Algorithms for Fresnel Diffraction at Rectangular and Circular Apertures," J. Res. Natl. Inst. Stand. Technol., vol. 103, pp. 497-509, 1998.
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Copyright (c) 2009. All rights reserved.
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Description